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Finding the Fourth Proportional to 642,710.40, 964,065.60 and 169,443.60

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Solution

The fourth proportional to 642,710.40, 964,065.60 and 169,443.60 is: 254,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,710.40 : 964,065.60 = 169,443.60 : x
  2. Step 2: Convert to fraction form
    642,710.40/964,065.60 = 169,443.60/x
  3. Step 3: Cross multiply
    642,710.40x = 964,065.60 × 169,443.60
  4. Step 4: Simplify right side
    642,710.40x = 163,354,745,900.16
  5. Step 5: Solve for x
    x = 163,354,745,900.16/642,710.40
  6. Step 6: Final answer
    x = 254,165.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.